Since the enactment of the Telecommunications Act of 1996 (1996), extensive expert testimony has justified use of the 'modified' t statistic (Brownie et al. Biometrics 46 (1990) 259-266) for performing two-sample hypothesis tests on Bell companies' CLEC and ILEC performance measurement data....

We present an easily implemented, fast, and accurate method for approximating extreme quantiles of compound loss distributions (frequency and severity) as are commonly used in insurance and operational risk capital models. The Interpolated Single Loss Approximation (ISLA) of Opdyke (2014) is...

Seven bootstrap algorithms coded in SAS® are compared. The fastest (“OPDY”), which uses no modules beyond Base SAS®, achieves speed increases almost two orders of magnitude faster (over 80x faster) than the relevant "built-in” SAS® procedure (Proc SurveySelect). It is even much faster...

For statistical process control, a number of single charts that jointly monitor both process mean and variability recently have been developed. For quality control-related hypothesis testing, however, there has been little analogous development of joint mean-variance tests: only one two-sample...

Financial institutions have invested tremendous resources to develop operational risk capital models within the framework of the Advanced Measurement Approach (AMA) of the Basel II Accord. Most of this effort has focused on satisfying evolving regulatory requirements in the near term rather than...

The largest US banks and Systemically Important Financial Institutions are required by regulatory mandate to estimate the operational risk capital they must hold using an Advanced Measurement Approach (AMA) as defined by the Basel II/III Accords. Most of these institutions use the Loss...

In operational risk measurement, the estimation of severity distribution parameters is the main driver of capital estimates, yet this remains a non-trivial challenge for many reasons. Maximum likelihood estimation (MLE) does not adequately meet this challenge because of its well-documented...

Until recently, since Jobson amp; Korkie (1981) derivations of the asymptotic distribution of the Sharpe ratio that are practically useable for generating confidence intervals or for conducting one- and two-sample hypothesis tests have relied on the restrictive, and now widely refuted,...

While permutation tests and bootstraps have very wide-ranging application, both share a common potential drawback: as data-intensive resampling methods, both can be runtime prohibitive when applied to large or even medium-sized data samples drawn from large datasets. The data explosion over the...